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Due |
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text |
Problems in bold
are for 785 students only |
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| Aug 26 Tu | Introduction. Begin review of
basics. Vectors |
1.1 LB Interlude I |
Ch 1 P3, 6, 10, 11, 13 | Sep 2 |
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| Aug 28 Th | Scalar and Vector Fields. | 1.2 | ||||
| Sep 2 Tu | Curvilinear coordinates | 1.3 | ||||
| Sep 4 Th | More... | 1.3-6 | Ch1 p5, 21, 25c, 26a, 31b, 33 | Sep 9 | ||
| Sep 9 Tu | Complex variables and their use in physics | 2.1 | ||||
| Sep 11 Th | Complex functions. Branch cuts. Calculus with complex variables. |
2.2 | Ch 2 P2, 6, 8a, 11, 14, 16b | Sep 16 | ||
| Sep 16 Tu | Integration- Cauchy Theorem. Complex Series |
2.2 , 2.3 | |
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| Sep 18 Th | Complex Series (9/24 last day to drop class) |
2.3 | Ch2 P19, 21c, 22d,e, 23b (check errata
for p19) |
Sep 23 | ||
| Sep 23 Tu | Use of complex variables in fluid
flow. Poles and zeroes. |
2.4, 5 |
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| Sep 25 Th | The Residue Theorem | 2.6 ,7 | Ch 2 P 24b,d, 25, 27a,c, 28a,b | Sep 30 |
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| Sep 30 Tu | Residue theorem- applications |
2.6,7 |
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| Oct 2 Th | Residue theorem- more. Conformal mapping. |
2.8 | Ch 2 p 30b, 35 | Oct 7 | ||
| Oct 7 Tu | The gamma function . Quick review of Differential eqns. | 2.9 Ch 3 |
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| Oct 9 Th | Quick review of Differential eqns. - series soln. |
Ch 3 |
Ch 2 p 31a, 32a, 39 Phys 485 only: 41a |
Oct 14 | ||
| Oct 14 Tu | MID-TERM EXAM | Ch 1-2 |
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| Oct 16 Th | More on DEs |
Ch 3 |
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| Oct 21 Tu | Fourier Series. | 4.1-2 | Ch 3 P 14, 16, 31 | Oct 21 |
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| Oct 23 Th | Sine and cosine
series.
Convergence. Revised Example |
4.3-5 |
Ch 3 p28 (Group project) Start now! | Due Nov 13 |
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| Oct 28 Tu | Laplace transforms. | 5.1-5 | Ch 4 P4, 6, 9,13 |
Oct 28 |
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| Oct 30 Th | Tricks for inversion, Convolution | 5.6, 7 | ||||
| Nov 4 Tu | The Mellin Inversion integral. Examples. | 5.7 | Ch 4 P18, 19, 23, Ch 5 P 1e, g Phys 485 only: Ch5 1f |
Nov 4 |
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| Nov 6 Th | Delta functions | 6.1,2,3 | ||||
| Nov 11 Tu | Veteran's Day. No
class. |
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| Nov 13 Th | More rigorous math on delta
fns. Sequences and series Distributions in N dimensions |
6.4,5,6 | Ch 5 P 5a, 6a, 8,12, 15(a or b) Ch3 P 28 |
Nov 13 | ||
| Nov 18 Tu | Fourier transforms. |
7.1,2 | Ch 6 P1b, 2, 5, 6b |
Nov 18 | ||
| Nov 20 Th | Examples. Power spectra |
7.4,5,6 |
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| Nov 24-28 |
THANKSGIVING - NO CLASS | |||||
| Dec 2 Tu |
Sine and Cosine transforms | 7.7 | Ch 6 P 18b, 20
Ch 7 P 1f, 6, 7 In P 7, plot versus w/w0 not w0T |
Dec 2 |
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| Dec 4 Th | Sturm-Liouville Theory | 8.1,2 | ||||
| Dec 9 Tu | Spherical problems, Legendre functions | 8.3 | Ch 7 P 16a Ch 8 P2(ii) |
Dec 9 |
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| Dec 11 Th | Spherical Harmonics; Bessel functions | 8.4 | Ch 8 P 6 | Dec11 | ||
| Dec 16 Tu |
FINAL EXAMINATION HANDED OUT |
If this schedule poses a hardship for you, you | ||||
| Dec 18 Th |
Final Exam due 48 hrs after you
received it. |
must notify me by Nov 13. | ||||
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